Search a number
-
+
2241505500 = 2235313711619
BaseRepresentation
bin1000010110011010…
…1010100011011100
312210012210021111020
42011212222203130
514042311134000
61010231124140
7106355324313
oct20546524334
95705707436
102241505500
11a502a9293
12526813650
13299504520
141739a327a
15d1bb9ba0
hex859aa8dc

2241505500 has 192 divisors, whose sum is σ = 7132769280. Its totient is φ = 543648000.

The previous prime is 2241505481. The next prime is 2241505501. The reversal of 2241505500 is 55051422.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241505501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1383691 + ... + 1385309.

It is an arithmetic number, because the mean of its divisors is an integer number (37149840).

Almost surely, 22241505500 is an apocalyptic number.

2241505500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241505500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566384640).

2241505500 is an abundant number, since it is smaller than the sum of its proper divisors (4891263780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2241505500 is a wasteful number, since it uses less digits than its factorization.

2241505500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 2241505500 is about 47344.5403399378. The cubic root of 2241505500 is about 1308.7195888059.

Adding to 2241505500 its reverse (55051422), we get a palindrome (2296556922).

The spelling of 2241505500 in words is "two billion, two hundred forty-one million, five hundred five thousand, five hundred".